# A New Family of Asymmetric Distributions for Modeling Light-Tailed and Right-Skewed Data

@article{Cadena2017ANF, title={A New Family of Asymmetric Distributions for Modeling Light-Tailed and Right-Skewed Data}, author={Meitner Cadena}, journal={arXiv: Statistics Theory}, year={2017} }

A new three-parameter cumulative distribution function defined on $(\alpha,\infty)$, for some $\alpha\geq0$, with asymmetric probability density function and showing exponential decays at its both tails, is introduced. The new distribution is near to familiar distributions like the gamma and log-normal distributions, but this new one shows own elements and thus does not generalize neither of these distributions. Hence, the new distribution constitutes a new alternative to fit values showing…

## References

SHOWING 1-10 OF 59 REFERENCES

### On families of beta- and generalized gamma-generated distributions and associated inference

- Mathematics
- 2009

### Theory & Methods: Generalized exponential distributions

- Mathematics
- 1999

The three‐parameter gamma and three‐parameter Weibull distributions are commonly used for analysing any lifetime data or skewed data. Both distributions have several desirable properties, and nice…

### The gamma-Lomax distribution

- Mathematics
- 2015

For any continuous baseline G distribution, Zografos and Balakrishnan [On families of beta- and generalized gamma-generated distributions and associated inference. Statist Methodol. 2009;6:344–362]…

### An extended Lomax distribution

- Mathematics
- 2013

A new five-parameter continuous distribution, the so-called McDonald Lomax distribution, that extends the Lomax distribution and some other distributions is proposed and studied. The model has as…

### A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families

- Mathematics
- 1997

SUMMARY A new way of introducing a parameter to expand a family of distributions is introduced and applied to yield a new two-parameter extension of the exponential distribution which may serve as a…

### Survival and lifetime data analysis with a flexible class of distributions

- Mathematics
- 2015

A general class of continuous univariate distributions with positive support obtained by transforming the class of two-piece distributions is introduced, which is very flexible, easy to implement, and contains members that can capture different tail behaviours and shapes, producing also a variety of hazard functions.

### WEIBULL-LOMAX DISTRIBUTION: PROPERTIES AND APPLICATIONS

- Computer Science
- 2014

A new model called the Weibull-Lomax distribution is introduced which extends the LomAX distribution and has increasing and decreasing shapes for the hazard rate function and outperforms the McDonald- lomax, Kumaraswamy-Lamax, gamma-Lmax, beta-LMax, exponentiated Lmax and Lomax models.

### A compound class of Weibull and power series distributions

- MathematicsComput. Stat. Data Anal.
- 2011

### The Beta Exponential Fréchet Distribution with Applications

- Mathematics
- 2017

We define and study a new generalization of the Frechet distribution called the beta exponential Frechet distribution. The new model includes thirty two special models. Some of its mathematical…

### A generalized log-normal distribution and its goodness of fit to censored data

- MathematicsComput. Stat.
- 2012

A generalized version of log-normal distribution is proposed and its goodness-of-fit for a randomly censored data set representing the remission times of bladder cancer patients has been demonstrated and compared with other lifetime models considered in the literature.